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Flagged Grothendieck polynomials

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0 Published in 2017 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-018-0841-3

Abstract: We show that the flagged Grothendieck polynomials defined as generating functions of flagged set-valued tableaux of Knutson et al. (J Reine Angew Math 630:1–31, 2009) can be expressed by a Jacobi–Trudi-type determinant formula generalizing the… read more here.

Keywords: grothendieck; flagged grothendieck; grothendieck polynomials;

Free-fermions and skew stable Grothendieck polynomials

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1 Published in 2022 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-022-01121-6

Abstract: Skew stable Grothendieck polynomials are $K$-theoretic analogues of skew Schur polynomials. We give a free-fermionic presentation of skew stable Grothendieck polynomials and their dual symmetric functions. By using our presentation, we derive a family of… read more here.

Keywords: stable grothendieck; skew stable; grothendieck polynomials; free fermions ... See more keywords

Positive specializations of symmetric Grothendieck polynomials

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0 Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107000

Abstract: It is a classical fundamental result that Schur-positive specializations of the ring of symmetric functions are characterized via totally positive functions whose parametrization describes the Edrei-Thoma theorem. In this paper we study positive specializations of… read more here.

Keywords: positive specializations; symmetric grothendieck; specializations symmetric; grothendieck polynomials ... See more keywords

Integrability approach to Fehér-Némethi-Rimányi-Guo-Sun type identities for factorial Grothendieck polynomials

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0 Published in 2020 at "Nuclear Physics B"

DOI: 10.1016/j.nuclphysb.2020.114998

Abstract: Recently, Guo and Sun derived an identity for factorial Grothendieck polynomials which is a generalization of the one for Schur polynomials by Feher, Nemethi and Rimanyi. We analyze the identity from the point of view… read more here.

Keywords: identity; factorial grothendieck; grothendieck polynomials; guo sun ... See more keywords

Stability of Products of Double Grothendieck Polynomials

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0 Published in 2025 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnaf338

Abstract: We prove that products of double Grothendieck polynomials have the same back- and forward-stability numbers as products of Schubert polynomials, characterize which simple reflections appear in such products, and also give a new proof of… read more here.

Keywords: double grothendieck; stability products; grothendieck; products double ... See more keywords